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Finding the Fourth Proportional to 475,686.84, 713,639.46 and 160,135.32

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Solution

The fourth proportional to 475,686.84, 713,639.46 and 160,135.32 is: 240,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,686.84 : 713,639.46 = 160,135.32 : x
  2. Step 2: Convert to fraction form
    475,686.84/713,639.46 = 160,135.32/x
  3. Step 3: Cross multiply
    475,686.84x = 713,639.46 × 160,135.32
  4. Step 4: Simplify right side
    475,686.84x = 114,278,883,291.73
  5. Step 5: Solve for x
    x = 114,278,883,291.73/475,686.84
  6. Step 6: Final answer
    x = 240,239.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.